NEW APPROACH TO THE CONCEPT OF $AI$-STATISTICAL CONVERGENCE WITH THE NUMBER OF ALPHA

Abstract

Following a very recent approach, we generalize recently intro-duced summability method, namely, I-statistical convergence. We use aninfinite matrix of complex numbers and an $$ number to do this generaliza-tion. We call this new convergence as $AI-statistical$ convergence of order $$with respect to a sequence of modulus functions. We also define two new spacesby using strong convergence and Cesáro summability and after giving thesedescriptions, we investigate their relationship and we obtain some results.